19 citations · 63 across the 19 of their papers we have counts for
4 papers · 1 filter
First cohomology groups for finite groups of Lie type in defining characteristic
Alison E. Parker, David I. Stewart
Let G be a finite group of Lie type, defined over a field k of characteristic p > 0. We find explicit bounds for the dimension of the first cohomology group for G with coefficients…
Bounding extensions for finite groups and Frobenius kernels
Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall +3
Let G be a simple, simply connected algebraic group defined over an algebraically closed field k of positive characteristic p. Let σ:G->G be a strict endomorphism (i. e., the subgr…
Shifted generic cohomology
Brian J. Parshall, Leonard L. Scott, David I. Stewart
The idea that the cohomology of finite groups might be fruitfully approached via the cohomology of ambient semisimple algebraic groups was first shown to be viable in the papers [C…
Non-G-completely reducible subgroups of the exceptional algebraic groups
David I. Stewart
Let G be an exceptional algebraic group defined over an algebraically closed field k of characteristic p>0 and let H be a subgroup of G. Then following Serre we say H is G-complete…